20755284480 has 800 divisors, whose sum is σ = 86509463040. Its totient is φ = 4658135040.

The previous prime is 20755284371. The next prime is 20755284577. The reversal of 20755284480 is 8448255702.

20755284480 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 528 + 44 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114669990 + ... + 114670170.

Almost surely, 2^20755284480 is an apocalyptic number.

20755284480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20755284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43254731520).

20755284480 is an abundant number, since it is smaller than the sum of its proper divisors (65754178560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20755284480 is an equidigital number, since it uses as much as digits as its factorization.

20755284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 20755284480 in words is "twenty billion, seven hundred fifty-five million, two hundred eighty-four thousand, four hundred eighty".